Solutions of modular bootstrap constraints from quantum codes

F Jessie MacWilliams, Andrew M. Odlyzko, Neil JA Sloane, and Harold N. Ward, “Self-dual codes over gf (4),” Journal of Combinatorial Theory, Series A 25

1978

Earlier work this paper cites.

K.S. Narain, “New heterotic string theories in uncompactified dimensions < < 10,” Physics Letters B 169

1986

Earlier work this paper cites.

Paul Ginsparg, “On toroidal compactification of heterotic superstrings,” Phys. Rev. D 35

1987

Earlier work this paper cites.

K.S. Narain, M.H. Sarmadi, and E. Witten, “A note on toroidal compactification of heterotic string theory,” Nuclear Physics B 279

1987

Earlier work this paper cites.

Edward Witten, “Quantum field theory and the jones polynomial,” Communications in Mathematical Physics 121

1989

Earlier work this paper cites.

A. N. Schellekens, “Meromorphic c = 24 conformal field theories,,” Commun. Math. Phys. 153

1993

Earlier work this paper cites.

Peter Shor and Raymond Laflamme, “Quantum analog of the macwilliams identities for classical coding theory,” Physical review letters 78

1997

Earlier work this paper cites.

John Horton Conway, The sensual (quadratic) form , Vol. 26 (American Mathematical Soc., 1997)

1997

Earlier work this paper cites.

Dirk Schlingemann and Reinhard F Werner, “Quantum error-correcting codes associated with graphs,” Physical Review A 65

2001

Earlier work this paper cites.

D Schlingemann, “Stabilizer codes can be realized as graph codes,” Quantum Information & Computation 2

2002

Earlier work this paper cites.

Wolfgang Dür, Hans Aschauer, and H-J Briegel, “Multiparticle entanglement purification for graph states,” Physical review letters 91

2003

Earlier work this paper cites.

David G Glynn, T Aaron Gulliver, Johannes G Maks, and Manish K Gupta, “The geometry of additive quantum codes,” (2004)

2004

Earlier work this paper cites.

Maarten Van den Nest, Jeroen Dehaene, and Bart De Moor, “Graphical description of the action of local clifford transformations on graph states,” Physical Review A 69

2004

Earlier work this paper cites.

Maarten Van den Nest and Bart De Moor, “Edge-local equivalence of graphs,” arXiv preprint math/0510246 (2005)

2005

Cited alongside, same era.

Nima Afkhami-Jeddi, Henry Cohn, Thomas Hartman, David de Laat, and Amirhossein Tajdini, “High-dimensional sphere packing and the modular bootstrap,” arXiv preprint arXiv:2006.02560 (2020a)

Original

2006

Cited alongside, same era.

Nima Afkhami-Jeddi, Henry Cohn, Thomas Hartman, and Amirhossein Tajdini, “Free partition functions and an averaged holographic duality,” arXiv preprint arXiv:2006.04839 (2020b)

Original

2006

Cited alongside, same era.

Marc Hein, Wolfgang Dür, Jens Eisert, Robert Raussendorf, M Nest, and H-J Briegel, “Entanglement in graph states and its applications,” arXiv preprint quant-ph/0602096 (2006)

2006

Cited alongside, same era.

Gabriele Nebe, Eric M Rains, and Neil James Alexander Sloane, Self-dual codes and invariant theory , Vol. 17 (Springer, 2006)

Thomas Hartman, Christoph A Keller, and Bogdan Stoica, “Universal spectrum of 2d conformal field theory in the large c limit,” Journal of High Energy Physics 2014

2014

Later among the works it cites.

Joshua D Qualls, “Universal bounds on operator dimensions in general 2d conformal field theories,” arXiv preprint arXiv:1508.00548 (2015)

Original

2015

Later among the works it cites.

Hyungrok Kim, Petr Kravchuk, and Hirosi Ooguri, “Reflections on conformal spectra,” Journal of High Energy Physics 2016

2016

Later among the works it cites.

Ying-Hsuan Lin, Shu-Heng Shao, Yifan Wang, and Xi Yin, “(2, 2) superconformal bootstrap in two dimensions,” Journal of High Energy Physics 2017

2017

Later among the works it cites.

Tarek Anous, Raghu Mahajan, and Edgar Shaghoulian, “Parity and the modular bootstrap,” SciPost Phys 5

2018